Pre-Algebra Examples

$15 - \frac{n}{7} = 13$

Step 1

Move all terms not containing $n$ to the right side of the equation.

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Step 1.1

Subtract $15$ from both sides of the equation.

$- \frac{n}{7} = 13 - 15$

Step 1.2

Subtract $15$ from $13$ .

$- \frac{n}{7} = - 2$

Step 2

Multiply both sides of the equation by $- 7$ .

$- 7 (- \frac{n}{7}) = - 7 \cdot - 2$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $- 7 (- \frac{n}{7})$ .

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Step 3.1.1.1

Cancel the common factor of $7$ .

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Step 3.1.1.1.1

Move the leading negative in $- \frac{n}{7}$ into the numerator.

$- 7 \frac{- n}{7} = - 7 \cdot - 2$

Step 3.1.1.1.2

Factor $7$ out of $- 7$ .

$7 (- 1) \frac{- n}{7} = - 7 \cdot - 2$

Step 3.1.1.1.3

Cancel the common factor.

$7 \cdot - 1 \frac{- n}{7} = - 7 \cdot - 2$

Step 3.1.1.1.4

Rewrite the expression.

$- - n = - 7 \cdot - 2$

Step 3.1.1.2

Multiply.

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Step 3.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 n = - 7 \cdot - 2$

Step 3.1.1.2.2

Multiply $n$ by $1$ .

$n = - 7 \cdot - 2$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $- 7$ by $- 2$ .

$n = 14$